## katiebugg 3 years ago help!?!?!?!

1. katiebugg

\[\log _{3}27\]

2. cwrw238

this means 3 ^x = 27 x = value of the log

3. katiebugg

?

4. katiebugg

x=3?

5. cwrw238

3 ^ 3 = 27 right?

6. cwrw238

yes

7. katiebugg

ok :)

8. cwrw238

the definition of a log is the exponent whci takes the base to the given number

9. katiebugg

wait then whats \[\log _{2} 32\]

10. cwrw238

eg 10^2 = 100 so log (10) of 100 = 2

11. cwrw238

what power must 2 be taken to in order to get 32s

12. cwrw238

* 32?

13. katiebugg

umm 5?

14. cwrw238

right

15. cwrw238

are you getting the idea?

16. katiebugg

kinnda lol i think what would \[\log _{3} 18 \] bee cuz i cant get it

17. cwrw238

here 2 ^x = 18 where x = required log now this cant solved by inspection as the other 2 could so you preceed as follows: ln 2^x = ln 18 where ln is natural log or log to base e by laws of logs x ln 2 = ln 18 x = ln 18 / ln 2 which you can do with your calculator

18. katiebugg

its 3 tho

19. cwrw238

oh - r us sure its log2 18 not log2 8?

20. cwrw238

because 2^3 = 8

21. katiebugg

nope log3 18

22. cwrw238

log to base 3 of 18

23. katiebugg

k

24. cwrw238

gotta go katie